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EE 261
Exam 3
Fall 2012
Name: _
ID:
(23 pts)
100
_
1. For the circuit shown, find the current i(t), t.
1
F
12
1
H
3
1
1
H
6
(20 pts)
2. The differential equation relating an output voltage vout(t) to an input voltage vin(t) in
a circuit is:
2
d 2 vout (t
BB 261 Final Exam Fall 2012
Name:
ID:
(25 pts) 1. For the circuit shown, nd:
(a) The equivalent impedance seen by the source (15 pts)
(b) The voltage 12(1) (10 pts)
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EE 261
Final Exam
Fall 2012
Name: _
ID:
(25 pts)
150
_
1. For the circuit shown, find:
(a) The equivalent impedance seen by the source (15 pts)
(b) The voltage v(t) (10 pts)
1
F
12
1
(30 pts)
2. For the circuit shown,
(a) Determine the differential
equati
EE 261
Exam 3
Spring 2013
Name: _
ID:
(25 pts)
100
_
1. For the circuit shown, find the voltage v(t), t.
1
F
8
1
(20 pts)
2. For the circuit shown, the switch moves from position A to position B at time t = 0.
Find y(t), t>0.
2
(30 pts)
3. For the circuit
BE 2&1 Exam 3 Spring 2613
Name:
ID:
(25 pts) 1. Fan! the circuit Shawn, nd the: voltage vff), tam.
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Find y
Spring 2016
EE 341
Lab 1
Lab 1: Elementary Sound Synthesis
1. Purpose
The purpose of this lab is to: i) implement simple synthesis methods, and ii)
develop intuitions for the audio impact of different signal transformations.
2. Background
Sound effects, m
EE 341: Discrete-Time Linear Systems
Lab 5: Sound/Image Synthesis
Due Date: Saturday, 4 June 2016, noon
In this lab, you will synthesize a sound or an image digitally, from scratch or by modifying
and combining existing signals, using at least three of th
EE341, Winter 2016
Problem Set #1
Due: 8 April 16
Note: OWN is short for the Oppenheim, Willsky and Nawab text.
For problems asking for a sketch, be sure to label heights and times. Show intermediate steps
of your work.
1. For the signal x[n] shown below,
Spring 2016
EE 341
Lab 2
Lab 2: Introduction to Image Processing
(Based on an early version by Dr. A. Miguel of Seattle University)
This lab will involve signal processing on images, which is a two-dimensional version of what
we have been doing with audio
Useful Summations
Geometnc progressions [for |a|<1. finite N
SCI 1 CD EN
ir_ k_
;a_la ;G_1a
Taking the derivative of the first sum above: again for laidi, we get
For general a and finite N
N E a = '3 N3 i a = i]
as: N+1 [1:1 23*: NgN1+1E1=1
k 1! oth
EE 341
Lab 3: Digital Filtering
In this lab, we will consider different types of digital filters and look at their characterization
in time and frequency. This will give you some insight into how digital filters are
implemented and designed and into the p
EE 341
Lab 4: Using the FFT for Frequency Analysis and Sound Transformations
In this lab, we will learn how to do frequency analysis of a discrete-time signal on a
computer, and investigate the effect of different frequency-domain transformations.
When us
EE341, Spring 2016
Problem Set #7
Due: 27 May 16
This assignment has two parts (each worth 2 points), which should be turned in separately.
Problem Set:
1. The input to a DT system is x[n] = 1 + cos(2n/5). Which of the following 5-point DFTs could
corresp
EE341, Spring 2016
Problem Set #4
Due: 29 April 16
1. Each system on the left side is a causal LTI system. Indicate which of the four system
descriptions on the right side goes with each system on the left side. (H(z) is the transfer
function, h[n] is the
EE341, Spring 2016
Problem Set #3
Due: 22 April 16
1. Find and sketch the convolution of x[n] = u[n]u[n5] and h[n] = u[n+3]2u[n]+u[n5],.
2. Consider y[n] = x[n] h[n] where x[n] = u[n + 3] u[n 3] and h[n] = 3n u[2 n].
(a) Find the values of n such that y[n
Spring 2016
EE 341
Lab 0
Lab 0: Working with Discrete-Time Signals
1. Purpose
The purpose of this lab is to: i) learn how to read, display, play and write sound
files, and ii) choose appropriate signal representations for a specified sampling
frequency. I
EE341, Spring 2016
Problem Set #5
Due: 13 May 16
1. Use the analysis equation to derive the Fourier transform of
x[n] = (0.6)n sin(
3n
)u[n].
5
Sketch the magnitude |X(ej )| over the [, ] range. (You can use Matlab or just do a
rough sketch leveraging the
EE341, Spring 2016
Problem Set #2
Due: 15 April 16
1. Pick three of the systems below, and determine whether each system is or is not: memoryless,
time-invariant, linear, causal, stable and invertible. Provide formal proofs for each answer:
a) y[n] = x[n
EE341, Spring 2016
Problem Set #6
Due: 20 May 16
1. Two bandpass filters have impulse responses h1 [n] = (0.4)n cos(n/3)u[n] and h2 [n] = (0.8)n cos(3n/4)u[n].
Without computing the DTFT, find the center frequency of each, and determine which one has the
EE341, Spring 2016
Problem Set #0 (Optional)
Due: 9PM, 1 April 16
1. These five expressions of discrete-time functions correspond to three signals. Sketch them
and determine which expression matches which signal.
x1 [n] = u[n + 1] u[n 3]
x2 [n] =
3
X
[n k
7.1
Write the differential equation governing iL(t) for the circuit below.
7.2
Determine the differential equation governing ic(t) in the circuit below.
7.3
Determine the differential equation governing VOUT in the circuit below.
7.4
For the circuit shown
2.1. List which of the elements in the circuit below are in series.
2.2. List which of the elements in the circuit below are in series.
2.3. List which of the elements in the circuit below are in parallel.
2.4. List which of the elements in the circuit be
8.1
For the circuit shown, the switch moves from A to B at time t = 0.
a) Write the differential equation governing iL(t), t>0.
b) Determine initial conditions (t = 0+) on vc(t) and iL(t).
c) Determine final conditions (t) on vc(t) and iL(t).
8.2
For the
6.1
For the circuits below, sketch the voltage v(t) and express the function mathematically in
terms of unit step functions.
(a)
(b)
6.2
The switch in the circuit below moves from position A to position B at time t = 0
seconds. Sketch the voltage v(t). Al
3.1
Use both nodal and mesh analysis to write a set of equations from which you can find I1,
the current through the 12 resistor. Do not solve the equations.
3.2
Use mesh analysis to find the current I flowing through the 10 resistor in the circuit
below.
5.1
For the circuit below find I, the current through the 16 resistor.
5.2
For the circuit shown, find Vout, the voltage across the 30k resistor.
5.3
For the circuit shown, find Vout.
5.4 For the circuit shown, find Vout.
5.5
Find V in the circuit below.
4.1
The input to the circuit below is the current, U. The output is the current through the 10
resistor, I. Determine an input-output equation for the circuit.
4.2
Use superposition to determine the voltage V in the circuit below.
4.3
Determine the Theven
1.1
1.2
Provide the appropriate sign convention for the missing parameter on the passive
elements represented by grey boxes.
For the circuit elements below, determine the power generated or absorbed by the element.
State whether the power is generated or
Exercise 1: Introduction to Digital Circuits
EE214 Fall 2014
#
1
2
3
4
T
I am submitting my own work in this exercise, and I am aware of the penalties for
cheating that will be assessed if I submit work for credit that is not my own.
Print Name
Sign Name